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Popular >

expand (e^x-2)e^x

Solution

expand

(e^{x} - 2) e^{x}

Solution

e^{2 x} - 2 e^{x}

Solution steps

(e^{x} - 2) e^{x}

= e^{x} (e^{x} - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = e^{x}, c = 2

= e^{x} e^{x} - e^{x} \cdot 2

= e^{x} e^{x} - 2 e^{x}

e^{x} e^{x} = e^{2 x}

= e^{2 x} - 2 e^{x}

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Frequently Asked Questions (FAQ)

What is expand (e^x-2)e^x ?
The solution to expand (e^x-2)e^x is e^{2x}-2e^x